Triple

T18090792
Position Surface form Disambiguated ID Type / Status
Subject De institutione arithmetica E432959 entity
Predicate influencedBy P9 FINISHED
Object Nicomachus of Gerasa
Nicomachus of Gerasa was an ancient Greek mathematician and Neopythagorean philosopher best known for his influential works on number theory and arithmetic, especially the "Introduction to Arithmetic."
E1304876 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Nicomachus of Gerasa | Statement: [De institutione arithmetica, influencedBy, Nicomachus of Gerasa]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Nicomachus of Gerasa
Context triple: [De institutione arithmetica, influencedBy, Nicomachus of Gerasa]
  • A. Nicomachus
    Nicomachus is traditionally regarded as the son of the ancient Greek philosopher Aristotle, after whom the Nicomachean Ethics is believed to be named.
  • B. Theodorus of Cyrene
    Theodorus of Cyrene was an ancient Greek mathematician and philosopher known for his work on irrational numbers and for teaching prominent figures such as Plato’s associate Theaetetus.
  • C. Hypsicles
    Hypsicles was an ancient Hellenistic Greek astronomer and mathematician known for his work on the division of the zodiac and for contributions sometimes associated with the Book XIV of Euclid’s Elements.
  • D. Proclus
    Proclus was a prominent 5th-century Neoplatonist philosopher best known for his systematic commentaries on Plato and for shaping later pagan and Christian metaphysical thought.
  • E. Eudemus of Rhodes
    Eudemus of Rhodes was an ancient Greek philosopher and historian of science, best known as a prominent Peripatetic who systematically documented the early development of mathematics and astronomy.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Nicomachus of Gerasa
Triple: [De institutione arithmetica, influencedBy, Nicomachus of Gerasa]
Generated description
Nicomachus of Gerasa was an ancient Greek mathematician and Neopythagorean philosopher best known for his influential works on number theory and arithmetic, especially the "Introduction to Arithmetic."
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Nicomachus of Gerasa
Target entity description: Nicomachus of Gerasa was an ancient Greek mathematician and Neopythagorean philosopher best known for his influential works on number theory and arithmetic, especially the "Introduction to Arithmetic."
  • A. Nicomachus
    Nicomachus is traditionally regarded as the son of the ancient Greek philosopher Aristotle, after whom the Nicomachean Ethics is believed to be named.
  • B. Theodorus of Cyrene
    Theodorus of Cyrene was an ancient Greek mathematician and philosopher known for his work on irrational numbers and for teaching prominent figures such as Plato’s associate Theaetetus.
  • C. Hypsicles
    Hypsicles was an ancient Hellenistic Greek astronomer and mathematician known for his work on the division of the zodiac and for contributions sometimes associated with the Book XIV of Euclid’s Elements.
  • D. Proclus
    Proclus was a prominent 5th-century Neoplatonist philosopher best known for his systematic commentaries on Plato and for shaping later pagan and Christian metaphysical thought.
  • E. Eudemus of Rhodes
    Eudemus of Rhodes was an ancient Greek philosopher and historian of science, best known as a prominent Peripatetic who systematically documented the early development of mathematics and astronomy.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d8b907d05c819083cc3bd6021089e6 completed April 10, 2026, 8:47 a.m.
NER Named-entity recognition batch_69e4dd18b55081909c416fb7186bd4a4 completed April 19, 2026, 1:48 p.m.
NED1 Entity disambiguation (via context triple) batch_6a035d9b6d248190964ffe6cfb19b2d8 completed May 12, 2026, 5:04 p.m.
NEDg Description generation batch_6a036a7c0d9881909750358cfd270cf5 completed May 12, 2026, 5:59 p.m.
NED2 Entity disambiguation (via description) batch_6a036af992b48190854e40c1e8acdb0b completed May 12, 2026, 6:01 p.m.
Created at: April 10, 2026, 10:27 a.m.